Data di Pubblicazione:
2016
Citazione:
Explicit versions of the prime ideal theorem for dedekind zeta functions under GRH / L. Grenié, G. Molteni. - In: MATHEMATICS OF COMPUTATION. - ISSN 0025-5718. - 85:298(2016 Mar), pp. 889-906. [10.1090/mcom3031]
Abstract:
Let ψK be the Chebyshev function of a number field K. Under the Generalized Riemann Hypothesis we prove an explicit upper bound for |ψK(x)-x| in terms of the degree and the discriminant of K. The new bound improves significantly on previous known results.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
sharper bounds
Elenco autori:
L. Grenié, G. Molteni
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